A165167 Number of reduced words of length n in Coxeter group on 35 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

1, 35, 1190, 40460, 1375640, 46771760, 1590239840, 54068154560, 1838317254445, 62502786630900, 2125094744763375, 72253221298589100, 2456609523357597300, 83524723767147616800, 2839840607164655463600, 96554580612373926504000

Offset: 0

Author

John Cannon and N. J. A. Sloane, Dec 03 2009

Keywords

• nonn

Comments

The initial terms coincide with those of A170754, although the two sequences are eventually different.

Computed with MAGMA using commands similar to those used to compute A154638.

Links

• Index entries for linear recurrences with constant coefficients, signature (33, 33, 33, 33, 33, 33, 33, -561).

Formula

G.f. (t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(561*t^8 -

33*t^7 - 33*t^6 - 33*t^5 - 33*t^4 - 33*t^3 - 33*t^2 - 33*t + 1)